Understanding Family Relationship Coding

This question requires us to decode a series of symbols representing family relationships to determine how one person (T) is related to another (S).

Decoding the Symbols

First, let's list the given relationship codes:

• 'A $\times$ B' means 'A is the husband of B'
• 'A + B' means 'A is the brother of B'
• 'A $\div$ B' means 'A is the son of B'
• 'A - B' means 'A is the father of B'

Analyzing the Expression: 'T $\div$ R + S - M'

We need to break down the expression step-by-step to establish the connections. It's often easiest to start from one end, considering the order of operations or simply working left-to-right or right-to-left based on how the relationships chain together.

Step 1: Decode 'T $\div$ R'

According to the code, 'A $\div$ B' means 'A is the son of B'. Applying this:

T $\div$ R means T is the son of R.

This tells us T is male and R is T's parent.

Step 2: Decode 'R + S'

The code 'A + B' means 'A is the brother of B'. Applying this:

R + S means R is the brother of S.

This tells us R is male, and R and S are siblings.

Step 3: Decode 'S - M'

The code 'A - B' means 'A is the father of B'. Applying this:

S - M means S is the father of M.

This confirms S is male and is the parent of M.

Establishing the Relationship: T to S

Now, let's combine these facts:

• From Step 1, we know: T is the son of R.
• From Step 2, we know: R is the brother of S.

If T is the son of R, and R is the brother of S, then T is the son of S's brother.

Therefore, T is the brother's son to S.

Visualizing the Family Tree

We can visualize this relationship:

(Parent(s) of R and S)
/ \
R (Brother)	S (Father)
|	|
T (Son)	M (Child)

Based on the structure, T is the son of R, and R is S's brother. This confirms T is the brother's son.